If you are given three vectors (v(adsbygoogle = window.adsbygoogle || []).push({}); _{1}, v_{2}, v_{3}) that each have 3 components (i.e. x, y, z) how do you go about figuring out if vector w is in the subspace that is spanned by v_{1}, v_{2}, v_{3}?

I know that span is the sum of scalar multiples of vectors for example:

αv_{1}+ βv_{2}+ γv_{3}

I am brand new to linear algebra and our professor decided to start in chapter 4 rather than from the beginning.

Thanks for your help!

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# Vectors and spanning

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